106789940 has 12 divisors (see below), whose sum is σ = 224258916. Its totient is φ = 42715968.

The previous prime is 106789927. The next prime is 106789961. The reversal of 106789940 is 49987601.

It can be written as a sum of positive squares in 2 ways, for example, as 13512976 + 93276964 = 3676^2 + 9658^2 .

It is a super-2 number, since 2×106789940² = 22808182570407200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106789891 and 106789900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2669729 + ... + 2669768.

It is an arithmetic number, because the mean of its divisors is an integer number (18688243).

Almost surely, 2^106789940 is an apocalyptic number.

106789940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106789940 is an abundant number, since it is smaller than the sum of its proper divisors (117468976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106789940 is a wasteful number, since it uses less digits than its factorization.

106789940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5339506 (or 5339504 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 106789940 is about 10333.9218112002. The cubic root of 106789940 is about 474.4350661365.

The spelling of 106789940 in words is "one hundred six million, seven hundred eighty-nine thousand, nine hundred forty".